Answer:
Step-by-step explanation:
Question 1
The point-slope formula for a straight line is
y – y₁ = m(x – x₁)
x₁ = 3; y₁ = -5; m = -4
Substitute the values
The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).
Question 2
x₁ = -1; y₁ = 8; m = 1
Substitute the values
The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).
Answer: a. x=4 b. x=17.5
Step-by-step explanation:
a. 5x/2+1=11
subtract 1 from both sides : 5x/2=10
multiply both sides by 2 : 5x=20
divide both sides by 4 : x=4
b. 2x/7-3=2
add 3 to both sides : 2x/7=5
multiply both sides by 7 : 2x=35
divide both sides by 2 : x=17.5
Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.
<h3>What are supplementary angles?</h3>
Two angles are supplementary when the <u>sum of their measures is of 180º</u>.
The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:
m<1 + m<2 = 180º.
135º + m<2 = 180º.
m<2 = 45º.
The measure of the second angle is of m<2 = 45º.
More can be learned about supplementary angles at brainly.com/question/12919120
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Answer:
Step-by-step explanation:
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